A family of boolean functions with good cryptographic properties
Sosa Gómez, Guillermo ; Paez Osuna, Octavio
HAL, hal-02022435 / Harvested from HAL
In 2005, [2] Philippe Guillot presented a new construction of Boolean functions using linear codes as an extension of Maiorana-McFarland's construction of bent functions. In this paper, we study a new family of Boolean functions with cryptographically strong properties such as non-linearity, propagation criterion, resiliency and balance. The construction of cryptographically strong boolean functions is a daunting task and there is currently a wide range of algebraic techniques and heuristics for constructing such functions , however these methods can be complex, com-putationally difficult to implement and not always produce a sufficient variety of functions. We present in this paper a construction of Boolean functions using algebraic codes following Guillot's work.
Publié le : 2019-02-17
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
@article{hal-02022435,
     author = {Sosa G\'omez, Guillermo and Paez Osuna, Octavio},
     title = {A family of boolean functions with good cryptographic properties},
     journal = {HAL},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-02022435}
}
Sosa Gómez, Guillermo; Paez Osuna, Octavio. A family of boolean functions with good cryptographic properties. HAL, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/hal-02022435/